SHADOWABLE DIFFEOMORPHISMS WITH DOMINATED SPLITTING

Authors

• Naoya Sumi, Department of Mathematics, Faculty of Science, Kumamoto University, 2-39-1 Kurokami, Kumamoto-shi, Kumamoto, 860-8555, JapanFollow

Abstract

We study the shadowability for diffeomorphisms with dominated

splitting. In this paper we show that if a diffeomorphism f has a periodic

saddle q whose unstable manifold is compatible with dominated splitting in

some sense and if f is shadowable, then any other periodic point p has a large

local stable set. Our result does not require the hyperbolicity of p.

Recommended Citation

Sumi, Naoya (2026) "SHADOWABLE DIFFEOMORPHISMS WITH DOMINATED SPLITTING," Journal of Stochastic Analysis: Vol. 7: No. 4, Article 2.
DOI: 10.31390/josa.7.4.02
Available at: https://repository.lsu.edu/josa/vol7/iss4/2

DOI

10.31390/josa.7.4.02